# how do you evauste the intergral intergral (2x^4-2x^3+6x^2-5x+1)/(x^3-x^2+x-1)dx using partial fractions method?

32,146 results

1. ### calculus

how do you evauste the intergral intergral (2x^4-2x^3+6x^2-5x+1)/(x^3-x^2+x-1)dx using partial fractions method?
2. ### math

the intergral (10 4 (2x^2+3x+1)dx i have to find the sum of the intergral using right and left endpts when n=3. I am confused on how to even start this or how to use these endpts.
3. ### Calculus

which of the following is equivalent to integral (a,b) k*f(x)+C)dx where k and C are constants k integral (a,b)(f(x)+C)dx ***** intergral (a,b)kdx + intergral (a,b)f(x)dx+ intergral (a,b) Cdx k integral (a,b)f(x)+ integral (a,b) Cdx integral (a,b) kdx * integral (a,b) f(x) dx...
4. ### CALCULUS

FIND EACH INDEFINITE INTERGRAL BY THE SUBSTITUTION METHOD (X^4-16)^5 X^3 DX
5. ### CALCULUS

FIND EACH INDEFINITE INTERGRAL BY THE SUBSTITUTION METHOD e^3X DX
6. ### CALCULUS

FIND EACH INDEFINITE INTERGRAL BY THE SUBSTITUTION METHOD DX/1+5X
7. ### CALCULUS

FIND EACH INDEFINITE INTERGRAL BY THE SUBSTITUTION METHOD X^3+X^2/3X^4+4X^3 DX
8. ### CALCULUS

FIND EACH INDEFINITE INTERGRAL BY THE SUBSTITUTION METHOD X^3+X^2/3X^4+4X^3 DX
9. ### CALCULUS

FIND EACH INDEFINITE INTERGRAL BY THE SUBSTITUTION METHOD ç(X^4-16)^5 X^3 DX
10. ### CALCULUS

FIND EACH INDEFINITE INTERGRAL BY THE SUBSTITUTION METHOD çX^3+X^2/3X^4+4X^3 DX
11. ### Calculus

FIND EACH INDEFINITE INTERGRAL BY THE SUBSTITUTION METHOD çe^3X DX
12. ### calculus

f(1)= 20, f(3)=13, f(5)=15, f(7)=16, f(9)=11, on [0,6] a, used midpint rule with n=5 to estimate intergral form 0 to 10 f(x)dx b, use trapezoidal rule with n=4 to estimate intergral from 1 to 9 f(x)dx c, used simpson's rule with n=4 to estimate intergal from 1 to 9 (x)dx
13. ### calculus

evaluate the intergral using substitution ingergral[(x^2-e^3x)/(x^3-e^3x)^2]dx
14. ### Calc easy

Having trouble getting the correct solution. The integral of “x squared” in the numerator and “x squared plus x minus 6” in the denominator. S X2 / (X2 + x – 6) dx Thanks! That's a messy one. According to my table of integrals. The answer is -x/6 -(1/72)loge(x^2 +x -...
15. ### Calculus

A donut is generated by rotating the circle, S, defined by (x-3)^2 +y^2 =4 about the y axis. If the anagement of dunkin donuts wants to know how to price these donuts use intergral calculus to help them (i) set up a definite intergral to determine the volume,V1, of a donut ...
16. ### CALC 2 - Partial Functions!!

How do I solve Integral of 7/(16-x^2) I know I must break down (16-x^2) into (x+4)(-x+4), but after I do that what is next? Using the method of partial fractions, convince yourself that 7/(16-x^2)= (7/8)*[1/(4+x) + 1/(4-x)] The two additive terms can be integrated by the ...
17. ### Calc

Find the derivative of the following function using the appropriate form of the Fundamental Theorem of Calculus. intergral s^2/(1+3s^4) ds from sqrtx to 1 F'(x)=?
18. ### calculus

For the intergral of -(x^2)/3 +6 interval [0,3] Rewrite it as a function of n using the right hand endpoint without any summation sign. can anyone help me start this problem out?
19. ### Calculus

Find the derivative of the following function using the appropriate form of the Fundamental Theorem of Calculus. intergral s^2/(1+3s^4) ds from sqrtx to 1 F'(x)=?
20. ### calculus(integral)

intergral 2x^2/(x^2+4x+8)
21. ### Calculus - Partial Fractions

What is the integral of 7e^(7t) Divided By e^14t+13e^7t+36 Using partial fractions
22. ### Calculus

Find the intergral of 1/[cos(^2) x
23. ### Cal II

Intergral (27-9x^2)^(1/2) fit to theorem (a^2-u^2)^(1/2)
24. ### CALCULUS

FIND EACH INDEFINITE INTERGRAL (X^2+1)^9 2X DX
25. ### CALCULUS

FIND EACH INDEFINITE INTERGRAL (X^2+1)^9 X DX
26. ### mathematics

find intergral (x^2)/sqrt(x^2+25)
27. ### mathematics

find intergral (x^2)/sqrt(x^2+25)
28. ### Calculus

Find the intergral of (1+x)/sqrt(3-x^2)
29. ### Math

Find the intergral of (1+x)/sqrt(3-x^2)
30. ### Math

Find g'(x) G(x)=9tcos(t^10)dt; intergral from [0 to sqrt(x)]
31. ### Calculus

Find the integral of x/ (x^4+x^2+1) from 2 to 3. I was going to integrate using the method for partial fractions but I can't factor x^4+x^2+1.
32. ### math

using method of partial fractions to decompose this 1/(x-3)(x+3) is 1/6(x-3)-1/6(x+3) correct or have i gone wrong somewhere
33. ### Calculus

Use the form of the definition of the integral to evaluate the intergral. From 0 to 9 (10+6x-x^2)
34. ### Maths -Integration by parts

Intergral square root of x sin(x) dx
35. ### Calc

Consider the following: f(x)= the intergral of ((3-xe^x)/x )dx If the integration constant, C , is zero, then the value of f (1) is ????

37. ### integration....

Evaluate the intergral root(xdx).... Help plz show work...
38. ### Calculus Indefinite Intergral

I need help with integrating these two problems. Im stuck. 1. integrate (sin^-1)dx/((1-x^2)^3/2) sin^-1 aka arcsin 2. integrate dx/((1-x^2)^3/2) by using 1/z Any and all help will be appreciated!
39. ### Math

Hi I'm really struggleing with this intergral, tried so many ways, just not getting it. Find the integral of Cot^2 X cos X dx
40. ### calculus

Use integration by parts to evaluate the definite integral. Intergral: xsec^2(6x) dx I set u=sec^2(6x) and dv=x, but the problems seems to get harder as I go on.
41. ### calculus

I need help solving the following problem. Could someone please help me and explain how to work the equation. Thanks in advance. [intergral x sqrt3x dx I hope this makes sense
42. ### Calculus urgent

For the intergral of -(x^2)/3 +6 interval [0,3] Rewrite it as a function of n using the right hand endpoint without any summation sign. can anyone help me start this problem out? I noticed somebody else had that post before, perhaps it was you. I am not sure exactly what you ...
43. ### Maths

What is the intergral of: 2x/[(x+1)^3] dx Can someone show me how to work to work it out please? Thanks!!
44. ### college calculus

evaulate an intergral for length of curve with y=(sqrt(4-x^2)) and 0 <_ x <_ 2 im lost, i think i know how to apply the formula but its so difficult to integrate and i need to show all my work!
45. ### Binomial

Help me on this one :( Express y= (7-3x-x^2)/[((1-x)^2)(2+x)] in partial fractions. Hence, prove that if x^3 and higher powers of x may be neglected, then y=(1/8)(28+30x+41x^2) I did the first part of expressing it in partial fractions. (Since it's very difficult to type out ...
46. ### Math- Partial Fractions

Decompose the following into partial fractions after factoring the denominator as much as possible. Please show some work so I can understand how you did it. 1)x^2/((x-1)(x^2+5x+4)) 2)(3x^3-5x^2+12x+4)/(x^4-16) 3)1/(x^2 (x+1)^2 ) 4)(x+1)/((x^2+1) 〖(x-1)〗^2
47. ### calculus

Find the length of the curve given by the equation y= intergral from -pi to x of sqrt(cos(t)) dt for x between -pi and pi. I think I know to do this- at least part of it. I am using the fundamental theorem of calculus and the arc length formula, but I don't know how to find ...
48. ### math-intergral upper bound

This one has me stumped. Find the least integral upper bound of the zeros of the function f(x)=x^3-x^2+1 So by the rational root theorem, 1 and -1 might be roots. by using synthetic division, i get the following values: for f(-1)=-1 f(0)=1 f(1)=1 f(2)=5 and there is changes in...
49. ### Calc II

Perform long division on the integrand, write the proper fraction as a sum of partial fractions, and evaluate the integral: (integral of) 2y^4dy/y^3 - y^2 + y - 1 After long divison I get: (integral of)2ydy + 2(integral of)dy + (integral of) 2/y^3 - y^2 + y - 1 I keep getting ...
50. ### Math

By the method of the fractions partial determine the function f (t) of the following functions F (s). F(s)= s^2+7s+12/(s+2)(s+4)(s+6) F(s)= (s+3)(s+6)/s(s^2+10s+24) F(s)= 5(s+2)^2/s(s+1)^3 F(s)= s+6/s(s+1)^2 F(s)= 27/(s+1)^3(s+4)
51. ### Calculus

Would someone clarify this for me... Is antiderivatives just another name for intergral and why is intergral of a function is the area under the curve? Antiderivatives is another word for integral. Why area? THink on this...the integral is the sum of all the "heights" times ...
52. ### Math

integrate (x^2+8)/(x^2-5x+6) by partial fractions method. I first did long division, and came up with 1+((5x+2)/(x^2-5x+6)). Then I did partial fraction for (5x+2)/(x^2-5x+6) by going A/(x-3)+B/(x-2) and I got 17/(x-3)-12/(x-2) to take the integral of. But when I check online ...
53. ### partial fractions

(7x^2-16)/(x^2-2x) solve by using partial fraction decomposition. i cant figure out how to do this because after i split up the bottom the A and B don't end up having an x^2 in order to equal the numerator of the original fraction. so confused!
54. ### antiderivatives

i need the antiderivative of sinxcosx dx for intergral pie/2 to 0 thanks. sin(x)cos(x)dx = sin(x)d[sin(x)] = 1/2d[sin^2(x)]
55. ### maths

Evaluate using partial fractions x^4 - 16/x^3 - 8
56. ### Math

Resolve in partial fractions (x+6)/((x^2+1)(x-2)^2) Using let x = ...
57. ### Calculus

Evaluate using integration by parts, substitution, or both if necessary. the intergral of cos 2x ln(sin 2x) dx My work: w= sin2x dw= 2cos2xdx 1/2 dw= cos2xdx 1/2 integrsl sign ln(w)dw u= lnw u'= 1/w v= w v'=1 1/2 [(lnw)(w)- integral sign (1/w)(w) dw] 1/2 (wlnw-w) Final Answer...
58. ### Math

Calculate the integrals by partial fractions and using the indicated substitution. Show the results you get are the same. dx/1-x^2; substitution x= sin pheta I understand how to do the partial fraction part, but not the second part and I don't know how they are similar. Any ...
59. ### calculus

INTEGRATION USING PARTIAL FRACTIONS a) 4x^2-3x+2 / x^3-x^2-2x dx b) x^2 / (x+1)(x+1)^2 dx c) 3-3x / 2x^2+6x dx d) x^2+2x-1 / (x^2+1)(x-1) dx ##anybody can help me for this question?

Intergral from -2 to 2 (-2 is at the bottom of the integral sign and 2 is at the top) x^-2dx = -x^-1] (the bracket has a 2 at the top and -2 at the bottom) = -(2)^-1-(-(-2)^-1) = (-1/2)-(1/2) = -1 Is this true or false. I think it's false, but can someone explain to me why it'...
61. ### Calculus

Intergral from -2 to 2 (-2 is at the bottom of the integral sign and 2 is at the top) x^-2dx = -x^-1] (the bracket has a 2 at the top and -2 at the bottom) = -(2)^-1-(-(-2)^-1) = (-1/2)-(1/2 = -1 Is this true or false. I think it's false, but can someone explain to me why it's...
62. ### Calculus - Integration

I came across this problem in my homework, and I was wondering if partial fractions would be rational for this problem. Int [(2x)/((x^2)^2)]dx If I don't use partial fractions, what would I use?
63. ### Calculus

Find the force on a hollow dome that is 1000 feet in diameter, that is a mile below the surface. HOw large can the dome be expanded and not surpass 600 billion pounds. I know the height will be 500, and i think that the intergral is 5280 to 4780 int 64,000pih, I am not sure ...
64. ### Calculus

2x -------- (x-2)(x+2) using partial fractions That's supposed to be a division sign of some sort
65. ### Calculus

2x -------- (x-2)(x+2) using partial fractions That's supposed to be a division sign of some sort
66. ### geography

which statement about religion in africa south of sahara is accurate? A)christianity first became part of culture about 150 years ago B)religion is an intergral part of daily life C)islam has not attracted a large following D)it does not include european influences my choose a
67. ### maths -partial fractions

Resolve in partial form (x^2+15)/(x+3)^2(x^2+3)
68. ### Calculus

I tried to integrate this: intergral sign with an interval from -inifinity to + infinity function: (x-r)^2 (1/r) (e^(-x/r)) with respect to dx..... I know that Steve set up the u-substitution but I seem to never arrive at an answer... It seems like I keep integrating and ...
69. ### math- partial fractions

how do you i do the partial fraction for 1/(s^2)(s^2 +2s +3)
70. ### Calc

intergral of (x^3 -4x + 3)/(2x) dx would this be ln abs(x^3-4x+3) + C? I don't really understand how to solve this problem. d/dx (tan (x^2)) sec^2(x^2)(2x) would this be the correct answer to find the derivative of tan (x^2)? no, because if you differentiate your answer you ...

72. ### Partial Decompostion Fractions

Can you please help me with the following questions please, I don't understand them. I know the general rule about them. Write the partial fraction decomposition of the rational expression. (x^2+4x-1)/(x^2+3)^2 (4x^3+4x^2)/(x^2+5)^2
73. ### Algebra-Partial Fractions

Can you please help me with the following questions please, I don't understand them. I know the general rule about them. Write the partial fraction decomposition of the rational expression. (x^2+4x-1)/(x^2+3)^2 (4x^3+4x^2)/(x^2+5)^2
74. ### Maths-Integration by Partial Fraction

Use integration by partial fractions to find Integral (3x^2-x+2)/(x-1)(x^2+1) dx
75. ### Calculus (Partial Fractions)

My Calculus class just started Partial Fractions, and I understand MOST of it. I'm having a slight problem though, when either C, or C and D come in. I understand A/(something) + B/(something) But I become confused when it's either A/(something) + B/(something) + C/(something...
76. ### 12th Calculus

1. Explain why the function f(x)=(x^2-4)/(x-2) is not continous on [0,3]. what kind of discontinuity occurs? 2. use areas to show that integral sign with the upper limit of 3 and a lower limit of 0 (x^2-4/x-2)dx=10.5 3. use the area to show that intergral sign with the upper ...
77. ### Math

Solve by using the subatitution method. (Please keep fractions as they are, don't convert to decimal.) 1. y= -3x - 1 2x - 3y= -8 2. 1 + 3y= 10 5x + 2y= 6 3. 2x - 6y= -2 x= 3y - 1 4. y= 1/7x + 3 x - 7y= -4
78. ### Math

Solve by using the substitution method. (Please keep fractions as they are, don't convert to decimal.) y= 1/7x + 3 x - 7y= -4
79. ### Calculus - Integrals

I made this question, just wanted to make sure it didn't drown under the tide... I've set a problem up, something like this. s^4: A+D=0 s^3: -2A+B-3D+E=0 s^2: 2A-B+C+3D-3E=0 s^1: -2A+B-D+3E=4 s^0: A+C-E=4 Count Iblis -It's easier to substitute for s the values that make the ...
80. ### Quadratic Long Division question?

How do i do this using long division? This is part of a Partial Fractions Question. Please help, thanks! (x^3) / (x^3 - 2x^2 + 3x - 18) I tried using long division, but I could only get a quotient of 1, and a remainder of 2x^2 - 3x + 18 Did i do something wrong?
81. ### Algebra

Solving system of linear equations by using the apropiate method name the method and the x,y coordinates 1)X=4y+8 2x-8y=-3 2)3x-7y=6 elimination method 2x+7y=4 (2,0) 3)5x-2y=12 elimination method 3x-2y=-2 (7,23/2) 4)9x-8y=42 elimination method 4x+8y=-16 (2,-3) 5)X=4y+8 ...
82. ### Math

Well in school we were reviewing percents, and one of the main things being discussed was how to convert between fractions, decimals, and percents. However I didn't understand how she explained converting fractions to decimals. She said that on the test we weren't allowed to ...
83. ### calculus

find the exact length of the curve y = ln(1-x^2), 0 <= x <= (1/2) So by doing the work I eventually get down to integral from 0 to 1/2 (1 + x^2)/(1-x^2) dx but I keep getting -1 + 1/(x-1) - 1/(x+1) after partial fractions which gives the answer ln(1/3) - 1/2 when I ...
84. ### Chemistry

23.55 ml of the NaOH were added to partially neutralize a new 25.00 ml sample of the acid. The pH of the mixture was measured as 5.33. Calculate Ka for the acid, HA, using the partial neutralization method
85. ### Math

Describe two ways to determine the larger of two fractions. A. Compare fractions by writing fractions as mixed numbers B. Compare fractions with the same denominator by comparing the numerators and compare fractions with different denominators by writing fractions as ...

Suppose you are trying to evaluate the intergral 2x^3dx and you make the substitution u=x^2. The substitution takes one area and converts it to a different one-in this case a trapezoid with vertical sides. Denote by R the region under the first curve from 3 to 3.01 and ...
87. ### calculus

Find the partial fractions for (3x^2-7x+12)/(x-2)(x^2-2x+5)
88. ### Math

Express 2x^3-9/x^3+6x^2+8x as partial fractions
89. ### Mathematics

Thanks you kindly. Express (2x^2-5x-5)/((2x^2+5)(4x-5)) in partial fractions.
90. ### calculus

Decompose 58-x/x^2-6x-16 into partial fractions.
91. ### maths

express x-1/(x+1)(x-2)^2 into partial fractions
92. ### maths

Resolve 3x/x^2-x-12 into partial fractions
93. ### Maths- Integration by partial fractions

Integral (3x^2-x+2)/(x-1)(x^2+1) dx
94. ### math

Express (15x^2+5x+2)/(2-x)(1+2x^2) in partial fractions.
95. ### math

Express (15x^2+5x+2)/(2-x)(1+2x^2) in partial fractions.
96. ### math

Express (15x^2+5x+2)/(2-x)(1+2x^2) in partial fractions.
97. ### math

Express (15x^2+5x+2)/(2-x)(1+2x^2) in partial fractions.
98. ### math

Express (15x^2+5x+2)/(2-x)(1+2x^2) in partial fractions.
99. ### math

Express (15x^2+5x+2)/(2-x)(1+2x^2) in partial fractions.
100. ### math/algebra

Express x^2 - 3x x^2 - 1 As partial fractions